x=5.15/0.25x=20+0.15/0.25

Solution for x=5.15/0.25x=20+0.15/0.25 equation:

x=5.15/0.25x=20+0.15/0.25

We move all terms to the left:

x-(5.15/0.25x)=0


Domain of the equation: 0.25x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x-(+5.15/0.25x)=0

We get rid of parentheses

x-5.15/0.25x=0

We multiply all the terms by the denominator


x*0.25x-5.15=0

Wy multiply elements

0x^2-5.15=0

We add all the numbers together, and all the variables

x^2-5.15=0

a = 1; b = 0; c = -5.15;
Δ = b2-4ac
Δ = 02-4·1·(-5.15)
Δ = 20.6
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{20.6}}{2*1}=\frac{0-\sqrt{20.6}}{2}
=-\frac{\sqrt{}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{20.6}}{2*1}=\frac{0+\sqrt{20.6}}{2}
=\frac{\sqrt{}}{2}
$